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math.AP2025
Steady Solutions to the Relativistic Boltzmann Equation in a Slab
Jin Woo Jang, Seok-Bae Yun
We study steady solutions to the relativistic Boltzmann equation with hard-sphere interactions in a slab geometry. Under a spatial symmetry assumption in the transverse variables $…
math.AP2025
Stationary Boltzmann Equation for Polyatomic Gases in a slab
Ki-Nam Hong, Marwa Shahine, Seok-Bae Yun
We consider the existence of steady rarefied flows of polyatomic gas between two parallel condensed phases, where evaporation and condensation processes occur. To this end, we stud…
math.NA2025
A conservative semi-Lagrangian scheme for the ellipsoidal BGK model of the Boltzmann equation
Sebastiano Boscarino, Seung Yeon Cho, Giovanni Russo +1
In this paper, we propose a high order conservative semi-Lagrangian scheme (SL) for the ellipsoidal BGK model of the Boltzmann transport equation. To avoid the time step restrictio…